son's of age is half of mother's age before a 10 years. Mother's age is 3 times of son's. Then find the present age?
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Let at present mother's age is x and son's age is y years.
10 years ago their's age were x-10 and y-10 respectively. But as per questions, x-10 = 3(y-10)
Or, x-3y = -20 ……….(i)
Again after 10 years , their's age will be x+10 and y+10 respectively. But as per questions.
x+10 = 2(y+10)
Or, x-2y = 10 ………(ii)
By solving, we get y = 30 and x = 70
Ratio of their present age =
Mother : Son = 70 : 30 = 7 : 3
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